A280762 - OEIS

A280762

a(n) = ceiling( log_2( Catalan(n) ) ).

0, 0, 1, 3, 4, 6, 8, 9, 11, 13, 15, 16, 18, 20, 22, 24, 26, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 127, 128, 130, 132, 134

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,4

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Nils A. Baas, A Stacey, Investigations of Higher Order Links, arXiv preprint arXiv:1602.06450, 2016. See Section 2.2.

MATHEMATICA

Table[Ceiling[Log[CatalanNumber[n]]/Log[2]], {n, 0, 80}] (* Vincenzo Librandi, Jan 18 2017 *)

PROG

(Magma) [Ceiling(Log(Catalan(n))/Log(2)): n in [0..70]]; // Vincenzo Librandi, Jan 18 2017

CROSSREFS

Cf. A000108.